一类二阶n-维中立型微分系统周期解问题

On the Existence of Periodic Solutions for a Kind of Second Order n-Dimensional Neutral Differential Systems

笔者利用重合度原理研究一类二阶n-维中立型微分系统(d2)/(dt2)(x(t)-Cx(t- ))+d/(dt)gradF(x(t))+gradG(x(t-τ(t)))=p(t)的周期解问题,得到了周期解存在性的新结果,推广了已有工作中相应的结论.

By using the coincidence degree principle, the authors study periodic solutions for the second order n-dimensional neutral differential system (d2)/(dt2)(x(t)- Cx(t-)) + d/(dt)gradF(x(t))+gradG(x(t-τ(t))) = p(t). Some sufficient conditions to guarantee the existence of periodic solutions to the system are obtained. Meanwhile, our results improve and extend the corresponding ones already known.